Question

factor:
(x-1)^1/2 - x(x-1)^-1/2

ive tried multiple different ways to firgure it out, but i cant seem to get too far in my work, i just don't know where to start.

Answer 1

your common factor is (x-1)^-1/2

so you would get

(x-1)^-1/2((x-1) - 1)
= -(x-1)^-1/2

or 1/(x-1)^-1/2

or 1/√(x-1)